Details

analyze74.0ms (1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

Compiler

Compiled 18 to 10 computations (44.4% saved)

sample17.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 35 to 21 computations (40% saved)

simplify231.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4953	25
1	4953	25

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

22.3b

Counts

2 → 1

Compiler

Compiled 34 to 18 computations (47.1% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

22.1b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
0.1b	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
22.1b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite67.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`frac-times_binary64_12705` `flip-+_binary64_12669` `flip3-+_binary64_12698`
31×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
30×	`associate-*l/_binary64_12638`
27×	`*-un-lft-identity_binary64_12695`
26×	`associate-/r/_binary64_12641`
18×	`associate-*r/_binary64_12637`
15×	`pow1_binary64_12756`
13×	`prod-exp_binary64_12744` `cbrt-unprod_binary64_12728`
11×	`add-sqr-sqrt_binary64_12717`
9×	`distribute-lft-out_binary64_12646` `associate-r_binary64_12635`
8×	`add-cube-cbrt_binary64_12730`
6×	`div-exp_binary64_12746` `cbrt-undiv_binary64_12729` `swap-sqr_binary64_12662`
5×	`associate-l_binary64_12636`
4×	`pow-prod-down_binary64_12766`
3×	`add-log-exp_binary64_12734`
2×	`*-commutative_binary64_12626` `distribute-rgt-in_binary64_12645` `unswap-sqr_binary64_12663` `distribute-lft-in_binary64_12644`
1×	`pow-prod-up_binary64_12765` `pow-sqr_binary64_12668` `pow2_binary64_12776` `associate-/l_binary64_12640` `frac-2neg_binary64_12706` `div-inv_binary64_12692` `associate-/r_binary64_12639` `pow-plus_binary64_12758` `clear-num_binary64_12694` `times-frac_binary64_12701`

Counts

3 → 140

Calls

6 calls:

19.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
16.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
9.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
0.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
0.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))

series468.0ms (6.6%)

Counts

3 → 62

Calls

3 calls:

272.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
107.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
89.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 2158 to 1648 computations (23.6% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4986	5871
1	4986	5871

prune271.0ms (3.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	194	8	202
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	195	8	203

Error

3.8b

Counts

203 → 8

Compiler

Compiled 5941 to 2259 computations (62% saved)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

18.9b	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))
9.4b	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y)
0.1b	(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y) (+.f64 (+.f64 x y) 1))
0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y) (+.f64 (+.f64 x y) 1))
9.4b	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y)
18.9b	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

rewrite66.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64_12695`
34×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
21×	`add-sqr-sqrt_binary64_12717`
19×	`associate-l_binary64_12636` `flip-+_binary64_12669` `flip3-+_binary64_12698`
18×	`associate-/r/_binary64_12641`
15×	`add-cube-cbrt_binary64_12730`
13×	`pow1_binary64_12756`
12×	`distribute-lft-out_binary64_12646` `frac-times_binary64_12705` `times-frac_binary64_12701`
10×	`prod-exp_binary64_12744` `div-exp_binary64_12746` `cbrt-undiv_binary64_12729` `cbrt-unprod_binary64_12728`
8×	`associate-*l/_binary64_12638`
7×	`associate-r_binary64_12635`
6×	`swap-sqr_binary64_12662` `associate-/r_binary64_12639` `associate-r/_binary64_12637`
4×	`associate-/l*_binary64_12640` `add-log-exp_binary64_12734`
3×	`div-inv_binary64_12692` `unswap-sqr_binary64_12663`
2×	`frac-2neg_binary64_12706` `pow-prod-down_binary64_12766` `*-commutative_binary64_12626` `clear-num_binary64_12694`
1×	`pow-prod-up_binary64_12765` `pow-sqr_binary64_12668` `pow2_binary64_12776` `associate-/l/_binary64_12642` `distribute-rgt-in_binary64_12645` `pow-plus_binary64_12758` `distribute-lft-in_binary64_12644`

Counts

4 → 137

Calls

8 calls:

18.0ms	(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y) (+.f64 (+.f64 x y) 1))
13.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y)
11.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))
10.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
0.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

series541.0ms (7.6%)

Counts

4 → 65

Calls

4 calls:

277.0ms	(/.f64 (.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y) (+.f64 (+.f64 x y) 1))
98.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) y)
94.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
71.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

Compiler

Compiled 2373 to 1864 computations (21.4% saved)

simplify87.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4981	3956
1	4981	3956

prune227.0ms (3.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	197	5	202
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	203	7	210

Error

0.0b

Counts

210 → 7

Compiler

Compiled 4691 to 2107 computations (55.1% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y)))
0.1b	(/.f64 (.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) y) (+.f64 (+.f64 x y) 1))
0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 1 (+.f64 x y))
0.0b	(/.f64 x (+.f64 x y))
0.1b	(/.f64 (.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) y) (+.f64 (+.f64 x y) 1))
0.1b	(*.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y)))
9.4b	(.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) y)

rewrite81.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`add-exp-log_binary64_12733`
64×	`*-un-lft-identity_binary64_12695`
61×	`add-cbrt-cube_binary64_12731`
49×	`add-sqr-sqrt_binary64_12717`
48×	`times-frac_binary64_12701`
42×	`prod-exp_binary64_12744`
35×	`div-exp_binary64_12746`
32×	`add-cube-cbrt_binary64_12730`
22×	`cbrt-unprod_binary64_12728`
21×	`associate-r_binary64_12635`
19×	`cbrt-undiv_binary64_12729` `associate-l_binary64_12636`
16×	`distribute-lft-out_binary64_12646`
11×	`pow1_binary64_12756`
9×	`associate-l/_binary64_12638` `associate-/r_binary64_12639`
8×	`associate-/r/_binary64_12641`
6×	`rec-exp_binary64_12745` `1-exp_binary64_12739` `unswap-sqr_binary64_12663`
4×	`associate-/l*_binary64_12640` `div-inv_binary64_12692` `flip-+_binary64_12669` `pow-prod-down_binary64_12766` `flip3-+_binary64_12698` `add-log-exp_binary64_12734`
3×	`frac-times_binary64_12705` `associate-/l/_binary64_12642` `associate-*r/_binary64_12637`
2×	`frac-2neg_binary64_12706` `*-commutative_binary64_12626` `clear-num_binary64_12694`

Counts

4 → 172

Calls

8 calls:

21.0ms	(/.f64 (.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) y) (+.f64 (+.f64 x y) 1))
19.0ms	(*.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y)))
14.0ms	(.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) y)
8.0ms	(/.f64 x (+.f64 x y))
0.0ms	(/.f64 1 (+.f64 x y))

series524.0ms (7.4%)

Counts

4 → 65

Calls

4 calls:

275.0ms	(/.f64 (.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) y) (+.f64 (+.f64 x y) 1))
101.0ms	(.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) y)
81.0ms	(/.f64 x (+.f64 x y))
67.0ms	(*.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y)))

Compiler

Compiled 2541 to 1960 computations (22.9% saved)

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4960	4945
1	4960	4945

prune239.0ms (3.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	233	4	237
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	238	6	244

Error

Counts

244 → 6

Compiler

Compiled 5757 to 2084 computations (63.8% saved)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 1 (+.f64 x y))))
0.1b	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))
0.0b	(/.f64 y (+.f64 1 (+.f64 x y)))
0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 y (+.f64 1 (+.f64 x y)))
0.1b	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))
0.1b	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 1 (+.f64 x y))))

rewrite112.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

313×	`*-un-lft-identity_binary64_12695`
303×	`times-frac_binary64_12701`
163×	`add-sqr-sqrt_binary64_12717`
142×	`add-cube-cbrt_binary64_12730`
89×	`distribute-lft-out_binary64_12646`
78×	`associate-l_binary64_12636`
34×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
28×	`associate-/r/_binary64_12641`
24×	`associate-/l*_binary64_12640`
21×	`associate-r_binary64_12635`
14×	`div-exp_binary64_12746` `cbrt-undiv_binary64_12729` `div-inv_binary64_12692` `flip-+_binary64_12669` `flip3-+_binary64_12698`
13×	`associate-/r*_binary64_12639`
6×	`prod-exp_binary64_12744` `unswap-sqr_binary64_12663` `cbrt-unprod_binary64_12728` `pow1_binary64_12756`
4×	`add-log-exp_binary64_12734`
3×	`frac-2neg_binary64_12706` `clear-num_binary64_12694`
1×	`frac-times_binary64_12705` `associate-/l/_binary64_12642` `pow-prod-down_binary64_12766` `-commutative_binary64_12626` `associate-l/_binary64_12638` `associate-*r/_binary64_12637`

Counts

4 → 310

Calls

8 calls:

49.0ms	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 1 (+.f64 x y))))
14.0ms	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))
7.0ms	(/.f64 y (+.f64 1 (+.f64 x y)))
5.0ms	(/.f64 x (+.f64 x y))
0.0ms	(/.f64 x (+.f64 x y))

series559.0ms (7.8%)

Counts

4 → 72

Calls

4 calls:

285.0ms	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 1 (+.f64 x y))))
122.0ms	(/.f64 y (+.f64 1 (+.f64 x y)))
80.0ms	(/.f64 x (+.f64 x y))
71.0ms	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))

Compiler

Compiled 2871 to 2127 computations (25.9% saved)

simplify141.0ms (2%)

Algorithm

1×	egg-herbie

Counts

382 → 382

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4997	9619
1	4997	9619

prune385.0ms (5.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	379	3	382
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	383	5	388

Error

Counts

388 → 5

Compiler

Compiled 10350 to 3342 computations (67.7% saved)

simplify35.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	426	2210
1	426	2210

regimes228.0ms (3.2%)

Compiler: Compiled 2982 to 1652 computations (44.6% saved)

bsearch0.0ms (0%)

regimes79.0ms (1.1%)

Compiler: Compiled 216 to 176 computations (18.5% saved)

bsearch31.0ms (0.4%)

Steps

Iters	Range		Point
7	6.695293525680476e+112	1.2669360915657785e+114	1.1562942154847326e+114
7	-0.958583343869435	-0.034028574755485534	-0.479391894918256

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes122.0ms (1.7%)

Compiler: Compiled 186 to 158 computations (15.1% saved)

bsearch66.0ms (0.9%)

Steps

Iters	Range		Point
9	9.123263240946051e+81	6.26028993985909e+88	9.291964939195028e+81
10	3575721.5253420603	1.1925499079707246e+17	166590009221051.28
8	1.1294394163222116e-71	7.962678551148981e-69	7.87691972705755e-69
7	-0.958583343869435	-0.034028574755485534	-0.08689245429463074

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes88.0ms (1.2%)

Compiler: Compiled 76 to 78 computations (-2.6% saved)

bsearch64.0ms (0.9%)

Steps

Iters	Range		Point
9	9.123263240946051e+81	6.26028993985909e+88	2.4971633622726765e+85
10	3575721.5253420603	1.1925499079707246e+17	4947344398780478.0
8	1.1294394163222116e-71	7.962678551148981e-69	4.198501929514065e-69
7	-0.958583343869435	-0.034028574755485534	-0.26249774882849686

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes64.0ms (0.9%)

Compiler: Compiled 58 to 64 computations (-10.3% saved)

bsearch63.0ms (0.9%)

Steps

Iters	Range		Point
9	9.123263240946051e+81	6.26028993985909e+88	9.291964939195028e+81
10	3575721.5253420603	1.1925499079707246e+17	16672508742.18026
9	8.258169334887751e-22	6.345068944842565e-13	2.896377103883239e-13
7	-0.958583343869435	-0.034028574755485534	-0.2907882896228133

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes59.0ms (0.8%)

Compiler: Compiled 44 to 54 computations (-22.7% saved)

bsearch37.0ms (0.5%)

Steps

Iters	Range		Point
9	1.513166589535519e+55	1.2068268226796232e+60	2.483067165956707e+55
10	-2.8977612177827934e+26	-153273997094188.7	-3.673899662106542e+19

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes44.0ms (0.6%)

Compiler: Compiled 30 to 42 computations (-40% saved)

bsearch37.0ms (0.5%)

Steps

Iters	Range		Point
9	9.123263240946051e+81	6.26028993985909e+88	1.1991192111178663e+82
10	-1.5843746924994637e+28	-5057005214.250394	-1826362507707992.0

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes46.0ms (0.6%)

Compiler: Compiled 20 to 34 computations (-70% saved)

bsearch29.0ms (0.4%)

Steps

Iters	Range		Point
9	9.120272514845022e+91	5.773343458773067e+98	9.552952017961924e+91
8	-1.074800998683862e+117	-6.109149765605799e+112	-6.215245166524276e+112

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.3%)

Accuracy

Total 0.1b remaining (94.4%)

Threshold costs 0.1b (94.4%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch10.0ms (0.1%)

Compiler: Compiled 290 to 162 computations (44.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	146	332
1	146	332

end0.0ms (0%)

sample1.7s (23.3%)

Algorithm

1×

intervals

Results

289.0ms

8000×

body

128

valid

Compiler

Compiled 1752 to 997 computations (43.1% saved)

Pareto

0.18136526270148706

Details

analyze74.0ms (1%)

sample17.0ms (0.2%)

simplify231.0ms (3.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite67.0ms (0.9%)

series468.0ms (6.6%)

simplify93.0ms (1.3%)

prune271.0ms (3.8%)

localize9.0ms (0.1%)

rewrite66.0ms (0.9%)

series541.0ms (7.6%)

simplify87.0ms (1.2%)

prune227.0ms (3.2%)

localize10.0ms (0.1%)

rewrite81.0ms (1.1%)

series524.0ms (7.4%)

simplify114.0ms (1.6%)

prune239.0ms (3.4%)

localize9.0ms (0.1%)

rewrite112.0ms (1.6%)

series559.0ms (7.8%)

simplify141.0ms (2%)

prune385.0ms (5.4%)

simplify35.0ms (0.5%)

regimes228.0ms (3.2%)

bsearch0.0ms (0%)

regimes79.0ms (1.1%)

bsearch31.0ms (0.4%)

regimes122.0ms (1.7%)

bsearch66.0ms (0.9%)

regimes88.0ms (1.2%)

bsearch64.0ms (0.9%)

regimes64.0ms (0.9%)

bsearch63.0ms (0.9%)

regimes59.0ms (0.8%)

bsearch37.0ms (0.5%)

regimes44.0ms (0.6%)

bsearch37.0ms (0.5%)

regimes46.0ms (0.6%)

bsearch29.0ms (0.4%)

regimes18.0ms (0.3%)

bsearch10.0ms (0.1%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.7s (23.3%)

Profiling